Abstract
Primordial black holes which are produced during an epoch of matter domination are expected to spin rapidly. It is shown that this leads to an enhancement of the detectability of the stochastic gravitational-wave background from their mergers. For a specific model, we explicitly demonstrate that this yields a 50,% increase of the gravitational-wave amplitude as compared to the non-spinning case.
Highlights
Those properties are influenced by the environment within which the black holes form
It should be noted that such a phase may have exist before, and to, the one after the matter-radiation equality at redshift z ∼ 104, such as during an epoch after inflation with inflaton oscillations [30,31,32,33], or during the strong phase transition [26, 27, 34]
Adopting the theory of angular momentum in structure formation [35,36], the authors of Ref. [37] recently found that rotation plays a very important rôle in the formation of primordial black holes within a matter-dominated area, and that most of these holes were already rapidly rotating at the time of their formation and will to a large extent continue to do so until now
Summary
Those properties are influenced by the environment within which the black holes form. Most of the literature discussing primordial-black hole formation focuses on gravitational collapse within a radiation-dominated area. When those black holes merge, depending on how their spins are oriented to each other, the amount of energy emitted in gravitational waves will be either larger or smaller as compared to the non-spinning case, being maximal for aligned and minimal for anti-aligned spins [38].
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